fix(relayer): Save block progress when caught up and subscribing to new events

[cyberhorsey]

No description provided.

[codecov]

Codecov Report

Merging #13177 (d771a20) into main (4f7ab64) will decrease coverage by 0.05%.
The diff coverage is 7.14%.

@@            Coverage Diff             @@
##             main   #13177      +/-   ##
==========================================
- Coverage   60.95%   60.90%   -0.05%     
==========================================
  Files         115      115              
  Lines        3391     3387       -4     
  Branches      460      447      -13     
==========================================
- Hits         2067     2063       -4     
+ Misses       1241     1239       -2     
- Partials       83       85       +2     

Flag	Coverage Δ		*Carryforward flag
bridge-ui	92.61% <ø> (ø)		Carriedforward from 4f7ab64
protocol	51.93% <ø> (+0.13%)	⬆️	Carriedforward from 4f7ab64
relayer	65.58% <7.14%> (-0.49%)	⬇️
ui	100.00% <ø> (ø)		Carriedforward from 4f7ab64

*This pull request uses carry forward flags. Click here to find out more.

Impacted Files	Coverage Δ
packages/protocol/contracts/L1/ProofVerifier.sol	0.00% <ø> (ø)
packages/protocol/contracts/L1/TaikoL1.sol	32.69% <ø> (ø)
packages/protocol/contracts/L1/TkoToken.sol	84.21% <ø> (ø)
...ckages/protocol/contracts/L1/libs/LibProposing.sol	6.66% <ø> (+0.25%)	⬆️
packages/protocol/contracts/L1/libs/LibProving.sol	0.00% <ø> (ø)
packages/protocol/contracts/L1/libs/LibUtils.sol	32.20% <ø> (ø)
...ckages/protocol/contracts/L1/libs/LibVerifying.sol	11.90% <ø> (ø)
packages/protocol/contracts/L2/TaikoL2.sol	53.84% <ø> (ø)
packages/protocol/contracts/bridge/Bridge.sol	41.17% <ø> (ø)
...ackages/protocol/contracts/bridge/BridgedERC20.sol	95.65% <ø> (ø)
... and 59 more

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